In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barre of a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. What fraction of the initial kinetic energy of the ball is stored in the spring?

In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barre of a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. What fraction of the initial kinetic energy of the ball is stored in the spring?

Name: *Chapter 9, Problem 57In the figure, a ball of mass m = 61 g is shot
Uploaded: 2024-03-20T06:57:25.000Z
Channel: Bartleby
Description: *Chapter 9, Problem 57In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barrelof a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 5.00-g bullet moving with an initial speed of v₁ = 390 m/s is fired into and passes through a 1.00-kg block as shown in the figure below. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 860 N/m. The block moves d = 5.40 cm to the right after impact before being brought to rest by the spring. (a) Find the speed at which the bullet emerges from the block. m/s (b) Find the amount of initial kinetic energy of the bullet that is converted into internal energy in bullet-block system during the collision.
A bullet with a mass mb=11.9g is fired into a block of wood at velocity vb=257 m/s The block is attached to a spring that has a spring constant kk of 205 N/m. The block and bullet continue to move, compressing the spring by 35.0 cm before the whole system momentarily comes to a stop. Assuming that the surface on which the block is resting is frictionless, determine the mass mwmw of the wooden block.
In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 208 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.90 kg), traveling at speed v1 = 3.50 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? eelle Number i Units
A pendulum of mass m and length is initially at rest at an angle 9. The pendulum then swings down and collides elastically with a stationary block of mass M. The block slides along the surface and eventually stops when it encounters a rough patch of length |Ad. Assume that m = 1.7kg, L = 0.80m, 0 = 67°, M = 2.8kg and Ad = 0.55m. a) Calculate the speed of the block immediately after the elastic collision. b) What is the coefficient of kinetic friction of the rough patch?
A massless spring (with force constant k = 194 N/m) connects a wall and a DIOCK of wood. The system is initially at rest, with the spring unstretched. The block has mass M= 59 g and is able to move without friction on a table. A gun is positioned to fire a bullet of mass m = 8.5 g into the block along the spring axis. After the gun is fired, the bullet gets embedded in the block, and the spring is compressed a maximum distance d = 0.86 m. m M Part (a) Find an equation for the speed of the bullet v, just before it hits the block, in terms of the variables given in the problem statement. √k(M + m) ✓ Correct! Part (b) In meters per second, what is the speed of the bullet v before it enters the block? X Attempts Remain Part (c) What is the frequency f(in Hz) of the resulting periodic motion of the block/bullet and spring system? d v= v = 11.58
A block with a mass m₁ = 9.20 kg is attached to a lightweight spring with a spring constant k = 100 N/m that is attached to a wall. Initially the block is at rest and the spring is relaxed, as shown in figure (a). A second block with a mass m₂ = 7.00 kg is pushed up against block m₁, compressing the spring a distance A = 0.140 m, as shown in figure (b). The two blocks are released from rest, and both start moving to the right with negligible friction. a b d k m₁ m₂ cm k m1 my m₂ m₁ m₂ (a) When block m₁ reaches the equilibrium point, as shown in figure (c), block m₂ loses contact with block m₁. Block m₂ continues to move right at a speed v. What is the speed v (in m/s)? m/s (b) Block m, continues to move right, reaching the point where the spring is at the maximum stretch (for the first time), as shown in figure (d). At this point, what is the distance D between the two blocks (in cm)? (Assume the widths of the blocks are much smaller than D.)
A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes through a M=1 kg block, as in Figure. The block, initially at rest on frictionless, horizontal surface is connected to a 5.00cm! spring of force constant k=900 N/m. If the block moves d= 5 cm to the right after impact and the object stops. What is the speed of block at which the bullet emerges from it? 1,5 m/s 200 m/s 2 m/s 100 m/s 150 m/s
In the figure, block 2 (mass 1.40 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 198 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.40 kg), traveling at speed v₁ = 3.50 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 1 ooooo Number i Units
In your job in a police lab, you must design an apparatus to measure the muzzle velocities of bullets fired from handguns. Your solution is to attach a 2.00 kg wood block that rests on a horizontal surface to a light horizontal spring. The other end of the spring is attached to a wall. Initially the spring is at its equilibrium length. A bullet is fired horizontally into the block and remains embedded in it. After the bullet strikes the block, the block compresses the spring a maximum distance d. You have measured that the coefficient of kinetic friction between the block and the horizontal surface is 0.38. The table below lists some firearms that you will test. A grain is a unit of mass equal to 64.80 mg. Bullet Mass Bullet ID Type Muzzle Velocity (ft/s) (grains) A .38Spec Glaser Blue 80 1667 B .38 Spec Federal 125 945 C .44Spec Remington 240 851 D .44Spec Winchester 200 819 E .45ACP Glaser Blue 140 1355
A 5.00-g bullet moving with an initial speed of vi = 450 m/s is fired into and passes through a 1.00-kg block as shown in the figure below. The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant 910 N/m. The block moves d 5.80 cm to the right after impact before being brought to rest by the spring. = (a) Find the speed at which the bullet emerges from the block. m/s w (b) Find the amount of initial kinetic energy of the bullet that is converted into internal energy in bullet-block system during the collision. J Need Help? Read It Master It
The 100 N box in the figure slides on the surface with a kinetic friction coefficient of μk = 0.3. The velocity of the box when it is 0.6 m away from the plate is v = 4.5 m / s. Since the box hits the 50 N plate and its movement is prevented by the uncompressed spring with k = 6500 N / m, determine the maximum compression given to the spring. Take the collision coefficient between box and plate e = 0.8. (g = 9,81 m / s2)
A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with spring constant k = 158 N/m for a distance of x = 1.08 m. After it is released, it hits a second cart of mass m₂ = 9 kg and bounces back while the second car continues traveling onto a ramp where it reaches a height of h₂ = 0.69 m. Find the magnitude of the velocity of the first cart in m/s immediately after hitting the second cart. Use g = 9.8 m/s² and retain your answer to two decimal places. k m1 m2 Im m1 Loo! m2 I h₂